This communication reports a set of activities carried out with a three-year-old male child in residential care, using the Poly-Universe material. This material involves sets of 24 pieces of geometric shapes and basic colours (square, circle and triangle), which allow puzzle-like constructions, transforming into a colourful geometric skill development game based on the symmetry of scale change, created by the artist János Szasz Saxon. In cooperation with the child, the educator made the material available, introducing circles, then squares and finally triangles, letting the child explore the material, which led to the construction of creative patterns and playful solutions, associated with other objects (eg the car track and the box to be used as a garage). Through participant observation, it was possible to record, in addition to the knowledge of geometric shapes and colours, through their naming, the development of curiosity, motivation, attention and visual perception. It was registered the placement of series, based on pieces of the same shape, geometric and enlarged forms of a wider set. In this way, the child’s curiosity and desire to learn gave way to intentional processes of exploring the material and understanding different mathematical concepts. It was possible to observe a gradual evolution in terms of material handling, showing an increasing willingness to make/discover new connections. In an autonomous way, he sorted the pieces by colour, created imaginary shapes or shapes that he could play with, put together equal sizes and was able to create new geometric figures.